The Condenser fan motor I removed from a Trane unit had four wires 1 black, 1red, 1brown and . The black wire went directly to #3 on the relay, the red wire went to the capacitor with black wire from #6 on the relay the brown wire went alone to the other side of the capacitor.

I purchased a.O.Smith form R.E.Michel Co. for replacement. It has 1black, 1blue, 1red, 1yellow 1brown and 1brown with white stripe. How do I wire It?

Is this a 3 speed fan?

Yes. High, medium and low speeds